Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sage Publications Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Free vibration analysis of a single edge cracked multi-layered symmetric sandwich stepped Timoshenko beams, made of functionally graded materials, is studied using finite element method and linear elastic fracture mechanic theory. The cantilever functionally graded beam consists of 50 layers, assumed that the second stage of the beam (step part) is created by machining. Thus, providing the material continuity between the two beam stages. It is assumed that material properties vary continuously, along the thickness direction according to the exponential and power laws. A developed MATLAB code is used to find the natural frequencies of three types of the stepped beam, concluding a good agreement with the known data from the literature, supported also by ANSYS software in data verification. In the study, the effects of the crack location, crack depth, power law gradient index, different material distributions, different stepped length, different cross-sectional geometries on natural frequencies and mode shapes are analysed in detail.
Açıklama
Anahtar Kelimeler
cracked stepped beam, finite element method, free vibration, functionally graded materials, Timoshenko beam
Kaynak
Advances in Structural Engineering
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
23
Sayı
16
